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Finding the Third Proportional to 451,982 and 613,850

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Solution

The third proportional to 451,982 and 613,850 is: 833,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,982 : 613,850 = 613,850 : x
  2. Step 2: Convert to fraction form
    451,982/613,850 = 613,850/x
  3. Step 3: Cross multiply
    451,982x = 613,850 × 613,850
  4. Step 4: Simplify right side
    451,982x = 376,811,822,500
  5. Step 5: Solve for x
    x = 376,811,822,500/451,982
  6. Step 6: Final answer
    x = 833,687.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.